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Atlas › Integer Profiles › Node 4,641,520

4,641,520

24 × 5 × 13 × 4463
Abundant Even Composite

4,641,520 factors as 2^4 × 5 × 13 × 4463. Its 40 positive divisors give a proper-divisor sum of 6,982,736, so this integer is abundant. The Collatz stopping time is 100 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 13 × 4463
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 11,624,256
Proper Divisor Sum 6,982,736
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #4641509 ← → #4641557

Radix Representation

Decimal 4641520
Binary 10001101101001011110000 (23 bits)
Octal 0o21551360
Hexadecimal 0x46D2F0

Divisor Catalog (40)

1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1,040 4,463 8,926 17,852 22,315 35,704 44,630 58,019 71,408 89,260 116,038 178,520 232,076 290,095 357,040 464,152 580,190 928,304 1,160,380 2,320,760 4,641,520

Collatz Trajectory (100 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

4,641,520 2,320,760 1,160,380 580,190 290,095 870,286 435,143 1,305,430 652,715 1,958,146 979,073 2,937,220 1,468,610 734,305 2,202,916 1,101,458 550,729 1,652,188 826,094 413,047 1,239,142 619,571 1,858,714 929,357 2,788,072 1,394,036 697,018 348,509 1,045,528 522,764 261,382 130,691 392,074 196,037 588,112 294,056 147,028 73,514 36,757 110,272 55,136 27,568 13,784 6,892 3,446 1,723 5,170 2,585 7,756 3,878 1,939 5,818 2,909 8,728 4,364 2,182 1,091 3,274 1,637 4,912

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